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Towards intelligent motion inferencing in mathematical sketching

Published: 07 February 2010 Publication History

Abstract

We present a new approach for creating dynamic illustrations to assist in the understanding of concepts in physics and mathematics using pen-based interaction. Our approach builds upon mathematical sketching by combining the ability to make associations between handwritten mathematics and free-form drawings with an underlying physics engine. This combination lets users create animations without having to directly specify object behavior with position functions through time, yet still supports writing the mathematics needed to formulate a problem. This functionality significantly expands the capabilities of mathematical sketching to support a wider variety of dynamic illustrations. We describe our approach to creating this mathematical sketching/physics engine fusion and discuss how it provides a foundation for using mathematical sketching in intelligent tutoring systems.

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References

[1]
Alvarado, C.J. A Natural Sketching Environment: Bringing the Computer into early stages of Mechanical Design, Master's Thesis, Massachusetts Institute of Technology, 2000
[2]
Baraff, D., And Witkin, A. Physically Based Modeling: Principles and Practice, Siggraph Course Notes, 1997
[3]
Kara, L.B., Gennari, L., And Stahovich, T.F. A Sketch-based Tool for Analyzing Vibratory Mechanical Systems, Journal of Mechanical Design, Volume 130, Issue 10, 2008
[4]
LaViola, J. Advances in Mathematical Sketching: Moving Toward the Paradigm's Full Potential, IEEE Computer Graphics and Applications, 27(1):38--48, January/February 2007.
[5]
LaViola, J. Mathematical Sketching: A New Approach to Creating and Exploring Dynamic Illustrations, PhD Thesis, Brown University, 2005
[6]
LaViola, J. and R. Zeleznik. MathPad2: A System for the Creation and Exploration of Mathematical Sketches, ACM Transactions on Graphics (Proceedings of SIGGRAPH 2004), 23(3):432--440, August 2004.
[7]
Millington, I. Game Physics Engine Developement, Morgan Kaufmann, March 2007
[8]
StarPad. http://pen.cs.brown.edu/starpad.html, 2009.
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Varberg, D. And Purcell, E.J. Calculus with Analytical Geometry, Prentice Hall, 1992
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Young, H.D. University Physics, Addison-Wesley Publishing Company, 1992

Cited By

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  • (2018)Using Animation to Enrich Learning Experience in Sketch-Based Physics Tutoring SystemsDesigning for the User Experience in Learning Systems10.1007/978-3-319-94794-5_10(201-227)Online publication date: 26-Sep-2018
  • (2012)PhysicsBookProceedings of the 2012 ACM international conference on Intelligent User Interfaces10.1145/2166966.2166977(51-60)Online publication date: 14-Feb-2012
  • (2012)A paradigm for handwriting-based intelligent tutorsInternational Journal of Human-Computer Studies10.1016/j.ijhcs.2012.04.00370:11(866-887)Online publication date: 1-Nov-2012
  • Show More Cited By

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Published In

cover image ACM Conferences
IUI '10: Proceedings of the 15th international conference on Intelligent user interfaces
February 2010
460 pages
ISBN:9781605585154
DOI:10.1145/1719970
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 07 February 2010

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Author Tags

  1. mathematical sketching
  2. pen-based interfaces
  3. sketch inferencing
  4. sketch parsing

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Overall Acceptance Rate 746 of 2,811 submissions, 27%

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Cited By

View all
  • (2018)Using Animation to Enrich Learning Experience in Sketch-Based Physics Tutoring SystemsDesigning for the User Experience in Learning Systems10.1007/978-3-319-94794-5_10(201-227)Online publication date: 26-Sep-2018
  • (2012)PhysicsBookProceedings of the 2012 ACM international conference on Intelligent User Interfaces10.1145/2166966.2166977(51-60)Online publication date: 14-Feb-2012
  • (2012)A paradigm for handwriting-based intelligent tutorsInternational Journal of Human-Computer Studies10.1016/j.ijhcs.2012.04.00370:11(866-887)Online publication date: 1-Nov-2012
  • (2010)Applying mathematical sketching to sketch-based physics tutoring softwareProceedings of the 10th international conference on Smart graphics10.5555/1894345.1894348(13-24)Online publication date: 24-Jun-2010
  • (2010)Applying Mathematical Sketching to Sketch-Based Physics Tutoring SoftwareSmart Graphics10.1007/978-3-642-13544-6_2(13-24)Online publication date: 2010

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